b. m/s/s (it is the unit of acceleration)
Explanation:
Speed is a scalar quantity that is equal to the ratio between the distance covered by an object and the time taken to cover that distance:
[tex]s=\frac{distance}{time}[/tex]
We have:
- Distance is a lenght, so it can be measured in meters (m), kilometers (km), miles (mi),...
- Tiime can be measured in seconds (s), hours (h), etc..
So, according to this, possible units of speed are:
a. Miles per hour
c. Km/hour
d. m/s (metres per second)
Instead, option b.
m/s/s
is not a unit for speed. Indeed, it is the unit of acceleration, which is defined as the rate of change of velocity:
[tex]a=\frac{\Delta v}{\Delta t}[/tex]
where [tex]\Delta v[/tex] is the change in velocity and [tex]\Delta t[/tex] is the time interval. Since:
[tex]\Delta v[/tex] is measured in m/s
[tex]\Delta t[/tex] is measured in s
It follows that acceleration is measured in m/s/s (also written as [tex]m/s^2[/tex], metres per second squared)
Learn more about speed and acceleration:
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